Korean Journal of Optics and Photonics (한국광학회지)

Optical Society of Korea (한국광학회)
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The Design of Telecentric Lenses and Fly-eye Lenses by Utilizing fθ Formula

fθ 공식을 활용한 텔레센트릭 렌즈 및 플라이아이 렌즈의 설계

  • Rim, Cheon-Seog (Department of Applied Optics and Electromagnetics, Hannam University)
  • 임천석 (한남대학교 광.전자물리학과)
  • Received : 2013.01.09
  • Accepted : 2013.02.04
  • Published : 2013.02.25
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Abstract

We try to find the generalized structural equation that gives a perspective understanding for telecentric lenses through paraxial optical algebraic equations and preconditions from a highly experienced design sense. The equation is named the $f{\theta}$ formula and this formula is applied to single lenses, double Gauss lenses, Cooke triplet lenses and the compound lens composed of a Cooke triplet lens and a double Gauss lens step by step. And this formula is also applied to single fly-eye lenses plus a telecentric lens and double fly-eye lenses plus a telecentric lens in sequence. As a result, we can confirm that this $f{\theta}$ formula leads to intuitive optical design with a structural understanding for telecentric lens systems.

본 논문에서는 근축광학적인 대수식(algegraic equations)과 설계경험적인 근사조건을 통해 텔레센트릭 렌즈를 구조적으로 이해할 수 있는 일반화된 관계식을 찾는다. 이 관계식은 $f{\theta}$ 공식으로 명명되고, 단매렌즈, 이중가우스렌즈, 쿠크(Cooke)의 삼중렌즈, 쿠크의 삼중렌즈와 이중가우스렌즈가 결합된 복합렌즈의 순서로 단계적으로 적용된다. 그리고 이 공식은 조명광학용으로 사용되는 단매의 플라이아이 렌즈와 집광렌즈, 2매의 플라이아이 렌즈와 집광렌즈에 대해서도 순차적으로 적용된다. 여기서, 집광렌즈는 텔레센트릭 렌즈와 광학적으로 동일한 속성을 가진다. 결론적으로, 본 논문에서 찾은 $f{\theta}$ 공식은 텔레센트릭 렌즈에 대한 구조적인 이해를 이끌어냄과 동시에 직관적인 방식의 설계에도 활용될 수 있음을 보여 준다.

Keywords

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  1. Optical Structural Design using Gaussian Optics for Multiscale Gigapixel Camera vol.24, pp.6, 2013, https://doi.org/10.3807/KJOP.2013.24.6.311